Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index (Q1434203)

For an elliptic curve over algebraically closed field, \textit{M. Atiyah} [Proc. Lond. Math. Soc., III. Ser. 7, 414--452 (1957; Zbl 0084.17305)] made the classification of indecomposable vector bundles on the elliptic curve. The paper under review generalizes Atiyah's classification to any smooth curve of genus one (the curve may not have rational points) over any perfect field.